TSTP Solution File: GRP302-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:59:13 EDT 2023
% Result : Unsatisfiable 3.63s 1.22s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of clauses : 72 ( 31 unt; 21 nHn; 59 RR)
% Number of literals : 162 ( 142 equ; 81 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c4
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_74,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| multiply(X1,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != X4
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != X4
| inverse(X4) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_76,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_77,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_78,negated_conjecture,
( inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != multiply(X0,sk_c8)
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_74]) ).
cnf(c_83,plain,
( multiply(X3,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X1,sk_c7) != sk_c8
| inverse(multiply(X0,sk_c8)) != sk_c8
| inverse(X0) != multiply(X0,sk_c8)
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_78,c_49,c_78]) ).
cnf(c_84,negated_conjecture,
( inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != multiply(X0,sk_c8)
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(renaming,[status(thm)],[c_83]) ).
cnf(c_324,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_84]) ).
cnf(c_325,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_84]) ).
cnf(c_326,negated_conjecture,
( inverse(X0) != multiply(X0,sk_c8)
| inverse(multiply(X0,sk_c8)) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_84]) ).
cnf(c_327,negated_conjecture,
( inverse(sk_c8) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_84]) ).
cnf(c_329,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_618,plain,
( multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_52,c_77]) ).
cnf(c_620,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c4,X0)
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_77]) ).
cnf(c_632,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_738,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_324]) ).
cnf(c_804,plain,
( inverse(sk_c3) != sk_c8
| ~ sP1_iProver_split
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_325]) ).
cnf(c_806,plain,
( inverse(sk_c3) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_52,c_325]) ).
cnf(c_871,plain,
( multiply(sk_c5,sk_c8) != inverse(sk_c5)
| inverse(sk_c4) != sk_c8
| ~ sP2_iProver_split
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_326]) ).
cnf(c_873,plain,
( multiply(sk_c5,sk_c8) != inverse(sk_c5)
| inverse(sk_c4) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_326]) ).
cnf(c_994,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_632,c_75]) ).
cnf(c_1003,plain,
multiply(inverse(sk_c8),sk_c6) = sk_c7,
inference(superposition,[status(thm)],[c_49,c_994]) ).
cnf(c_1021,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_994]) ).
cnf(c_1033,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_994,c_994]) ).
cnf(c_1192,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1021,c_1033]) ).
cnf(c_1237,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1033,c_76]) ).
cnf(c_1243,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1033,c_1192]) ).
cnf(c_1244,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1243,c_1192]) ).
cnf(c_1272,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1244]) ).
cnf(c_1307,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_329]) ).
cnf(c_1639,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_68,c_1237]) ).
cnf(c_1973,plain,
( inverse(sk_c5) != sk_c4
| X0 != sk_c4
| X0 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_1307]) ).
cnf(c_2406,plain,
( multiply(sk_c5,sk_c8) != sk_c4
| inverse(sk_c5) != sk_c4
| multiply(sk_c5,sk_c8) = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_1973]) ).
cnf(c_2614,plain,
( inverse(sk_c8) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1639,c_62]) ).
cnf(c_2674,plain,
( multiply(sk_c8,sk_c7) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2614,c_1237]) ).
cnf(c_2685,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_2674,c_49]) ).
cnf(c_2688,plain,
multiply(inverse(sk_c8),identity) = sk_c7,
inference(demodulation,[status(thm)],[c_1003,c_2685]) ).
cnf(c_2717,plain,
inverse(sk_c1) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_618,c_54,c_53,c_51,c_50,c_55,c_327,c_738,c_806,c_873,c_1272,c_2406,c_2685]) ).
cnf(c_2735,plain,
inverse(sk_c8) = sk_c1,
inference(superposition,[status(thm)],[c_2717,c_1244]) ).
cnf(c_2738,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm)],[c_2717,c_76]) ).
cnf(c_2749,plain,
( sk_c7 != sk_c1
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_327,c_2735]) ).
cnf(c_2770,plain,
multiply(inverse(sk_c8),identity) = sk_c1,
inference(superposition,[status(thm)],[c_2738,c_994]) ).
cnf(c_2772,plain,
sk_c7 = sk_c1,
inference(light_normalisation,[status(thm)],[c_2770,c_2688]) ).
cnf(c_2775,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm)],[c_2717,c_2772]) ).
cnf(c_2932,plain,
inverse(sk_c8) = sk_c7,
inference(light_normalisation,[status(thm)],[c_2735,c_2772]) ).
cnf(c_2952,plain,
( sP1_iProver_split
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2749,c_738,c_1272,c_2685,c_2749,c_2772]) ).
cnf(c_3120,plain,
multiply(sk_c1,sk_c7) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_620,c_60,c_59,c_57,c_61,c_738,c_804,c_871,c_1272,c_2406,c_2685,c_2749,c_2772]) ).
cnf(c_3122,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(light_normalisation,[status(thm)],[c_3120,c_2772]) ).
cnf(c_3123,plain,
( inverse(sk_c7) != sk_c8
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_3122,c_325]) ).
cnf(c_3124,plain,
multiply(inverse(sk_c7),sk_c8) = sk_c7,
inference(superposition,[status(thm)],[c_3122,c_994]) ).
cnf(c_3127,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(light_normalisation,[status(thm)],[c_3124,c_2775]) ).
cnf(c_3128,plain,
~ sP1_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_3123,c_2775]) ).
cnf(c_3130,plain,
sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_2952,c_3128]) ).
cnf(c_3131,plain,
( inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(X0,sk_c8) != inverse(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_326,c_3130]) ).
cnf(c_3559,plain,
( multiply(sk_c8,sk_c8) != inverse(sk_c8)
| inverse(sk_c7) != sk_c8 ),
inference(superposition,[status(thm)],[c_3127,c_3131]) ).
cnf(c_3562,plain,
( inverse(sk_c7) != sk_c8
| sk_c7 != sk_c7 ),
inference(light_normalisation,[status(thm)],[c_3559,c_2932,c_3127]) ).
cnf(c_3563,plain,
inverse(sk_c7) != sk_c8,
inference(equality_resolution_simp,[status(thm)],[c_3562]) ).
cnf(c_3564,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3563,c_2775]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Aug 28 21:03:23 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.49 Running first-order theorem proving
% 0.19/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.63/1.22 % SZS status Started for theBenchmark.p
% 3.63/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.63/1.22
% 3.63/1.22 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.63/1.22
% 3.63/1.22 ------ iProver source info
% 3.63/1.22
% 3.63/1.22 git: date: 2023-05-31 18:12:56 +0000
% 3.63/1.22 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.63/1.22 git: non_committed_changes: false
% 3.63/1.22 git: last_make_outside_of_git: false
% 3.63/1.22
% 3.63/1.22 ------ Parsing...successful
% 3.63/1.22
% 3.63/1.22
% 3.63/1.22
% 3.63/1.22 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.63/1.22
% 3.63/1.22 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.63/1.22
% 3.63/1.22 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.63/1.22 ------ Proving...
% 3.63/1.22 ------ Problem Properties
% 3.63/1.22
% 3.63/1.22
% 3.63/1.22 clauses 32
% 3.63/1.22 conjectures 29
% 3.63/1.22 EPR 0
% 3.63/1.22 Horn 7
% 3.63/1.22 unary 4
% 3.63/1.22 binary 24
% 3.63/1.22 lits 65
% 3.63/1.22 lits eq 59
% 3.63/1.22 fd_pure 0
% 3.63/1.22 fd_pseudo 0
% 3.63/1.22 fd_cond 0
% 3.63/1.22 fd_pseudo_cond 0
% 3.63/1.22 AC symbols 0
% 3.63/1.22
% 3.63/1.22 ------ Schedule dynamic 5 is on
% 3.63/1.22
% 3.63/1.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.63/1.22
% 3.63/1.22
% 3.63/1.22 ------
% 3.63/1.22 Current options:
% 3.63/1.22 ------
% 3.63/1.22
% 3.63/1.22
% 3.63/1.22
% 3.63/1.22
% 3.63/1.22 ------ Proving...
% 3.63/1.22
% 3.63/1.22
% 3.63/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.63/1.22
% 3.63/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.63/1.22
% 3.63/1.23
%------------------------------------------------------------------------------